This is really funny - I have done a simlar thing with Fur Elise!
I had an intellectualy gifted 6 year old start lessons with me. He wanted to learn piano specifically so he could play Fur Elise. I had an interview with him and he had already memorised a fair bit of the melody, even without knowing anything about the piano. He had a very expressive touch and was passing thumbs under and all sorts of things without even thinking about it.
So, I agreed to teach him - and to start working on Fur Elise. Well, I pushed him in at the deep end! He had memorised the theme with left hand arpeggios in two weeks, but he was getting frustrated because his memory kept slipping, so he was making mistakes and struggling with the left hand. Never again!
Being a perfectionist, after a few weeks he decided he wasn't any good at playing the piano and came very close to giving up. That was when the emergency bells rang for me - a bit slow, I know! I then had to explain to him very carefully that what he was trying to do was very unrealistic and that he was doing an amazing job to have achieved what he had done. He accepted my explanantion, but he is not a kid with a lot of confidence and he didn't need to have this pressure.
We are still working on Fur Elise, a little at a time when he feels like it, but I am trying to give him a better foundation in playing and reading.
I think this is one of the challenges of teaching gifted kids - you have to work on different levels at once. It takes a lot of foresight to get the balance right. They get totally bored if you keep them on the easy method pieces, but they need some of this material - the foundations are often harder for them to grasp than the harder stuff. At the same time, if you don't target exactly the right level of harder material, their perfectionistic tendencies can generate an unbalanced sense of failure.
On the bright side, this morning I had a lesson with the 5 year old I mentioned earlier. I was jumping up and down for joy. I took him over some very simple material today, basic Primer reading level. I have been trying to get this point across to him for months, but out of nowhere he said today, "You know, if you watch the notes on the music very carefully you can remeber them and if you think very carefully about the piano you notice where the notes are and you don't lose your place!" How many different ways have I tried to 'make' this happen. Oh, I am so hoping that this marks the beginning of him 'getting it'!
I also had another refreshing lesson this morning with a student I have struggled with for a little while, an 8 year old. She was learning really well, and then suddenly stopped reading the music - it was just a total blank and I couldn't seem to get through to her that it was important to follow the score. She would do nothing if I didn't show her what to do first. Today, after a few weeks' break, she was very rusty - but she read the music. She worked the notes out herself and followed the lines. I am so relieved :-)
Annah